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Simplifying 8 + 5(2 + -3x) = -2(x + -2) 8 + (2 * 5 + -3x * 5) = -2(x + -2) 8 + (10 + -15x) = -2(x + -2) Combine like terms: 8 + 10 = 18 18 + -15x = -2(x + -2) Reorder the terms: 18 + -15x = -2(-2 + x) 18 + -15x = (-2 * -2 + x * -2) 18 + -15x = (4 + -2x) Solving 18 + -15x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + -15x + 2x = 4 + -2x + 2x Combine like terms: -15x + 2x = -13x 18 + -13x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -13x = 4 + 0 18 + -13x = 4 Add '-18' to each side of the equation. 18 + -18 + -13x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = 4 + -18 -13x = 4 + -18 Combine like terms: 4 + -18 = -14 -13x = -14 Divide each side by '-13'. x = 1.076923077 Simplifying x = 1.076923077
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